Assume there are 3 ways to get from point A to B and 5 ways to get from B to C. How many possible ways are there to get from A to C through the path of B?

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2. William's House and Putrajaya Café are 19 km away. South of William's house and Putrajaya Cafe there is a river which is assumed to be straight and very long. William's house is 12 km from the river and Putrajaya Cafe is 10 km from the river. One day, William wanted to go from his home to Putrajaya Cafe to do business by riding his favorite horse named Wu. If William had to go to the river first to give Wu a drink before leaving for the Putrajaya Cafe, then the shortest distance William might travel from his house to the Putrajaya Cafe was... А. 22 В. 29 C. 12 + V457 D. 10 + V501 V933+y757 Е. 2

Tolman and his colleagues taught a rat to run down a starting alley of a maze into a large circular area. From the circular area, another alley exited straight across from the entrance and turned and ended up in a goal box, which was actually to the right of the circular area. Goal Start Then Tolman wanted to see if the rat had learned the general direction of the goal box where the food was stored (i.e. to the far left, to the far right, etc). So, he blocked the entrance of that "learned" path, but still gave the rat 4 opening paths to reach the goal. However, only one path turned out to be the correct one. Then he gave the rat 32 attempts to reach the goal. He found the rat attempt each pathway from left to right with the following attempts: 4, 5, 8, and 15.

Line e represents a straight part of the shoreline at a beach. Suppose you are in the ocean at point C and you want to get to the shore as fast as possible. Assume there is no current. Segments CJ and CD represent 2 possible paths. Diego says, "No matter where we put point D, the Pythagorean Theorem tells us that segment CJ is shorter than segment CD. So, segment CJ represents the shortest path to shore." Do you agree with Diego? Explain your reasoning.

5. Given 3 points in space, is there always a plane that passes through all of them? What if instead, you are given 4 points in space?